+ 5t 3- xy)D = [32 )and 28" – D-1 = {A If A 3 -: Find the unknowns x, t, y, z D=7 F=7 C=2

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

Q: Verify that (AB)T = BTAT.

A:

Q: sec² (w) - -dw 4w2 +1 10.

A:

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: Hw/ If 2x, - X2 + 3 X3=2 メi+3X2- メ3=11 2 Xー2×2+ 5X3=3 %3D Then Find The values X, X2

A:

Q: 6x - y dr dy

A: To evaluate: ∫01∫-yy26x-ydxdy

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A: The given system of equation is: 4x+2y=22x+2y=4

Q: ッーメー 5 X-39) メ1に

A:

Q: If (2x, 3) = (2, 3y). What is the value of x and y? *

A:

Q: Find the market equilibrium point for these e y = 48 – 3x? a) y = x? +4x+16

A:

Q: State by True/False : VXEZ, 3yEZx² - y² =9 O True O False

A:

Q: -5-4-3-2-1 2 -2 y +y = 2x + 3 By=-2x + 3 find correct option 2 3 4 5 x Cy=-4x+3 Dy=3x-2

A:

Q: Find å · b for å = (-2, ) and b = (-5, 12).

A:

Q: X2 dx ex+3

A:

Q: x = t3 + t2, y = 7t2 − 4, t = 2

A:

Q: Cco s 2x -2) Differentiate y= 3x e 2.

A: The objective is to differentiate y=3x2ecos2x-22

Q: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: 3) x-4y 8 3

A: x-4y=8 is shown by red graph y =x/4 + 3 is shown by blue graph. From the graph , both the lines are…

Q: two students started at the coordinate (0,0) stuedent a walked 7 units east and five units south and…

A:

Q: y= 2x5-3, find y"" O 10x4 O 120 x² O 40x³ O none of these answers

A: To find derivative

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h-0.1, approximate y '(1.3).…

A: option c is correct i.e. (c) -1.92711

Q: dx x²V(x² -4) Select one: a, 4x b. Vx? - 4) + C C. -Vx? -4) + C 2x d. Vx² - 4) 21 wwm + C 2x

A:

Q: 3x 2 - 8xy - 2y 2 ; x = -5, y = -6   A.43 B.129 C.-182 D.237

A: GIVEN 3x2- 8xy - 2y2

Q: Evaluate -5у-5 dy 31. Jv+2y-4

A:

Q: Find (2a° + 3x*) dæ + C

A: We evaluate given integral

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A:

Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

A:

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

A:

Q: 13x+30= (류,-1) and (-3,) 4. Find the equation that contains 7'3)

A:

Q: O campute dyldx and X= 4t3-t² + 7t Y= t4 - lot

A: As we know that the chain rule: dydx=dydt×dtdx The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: 2. -8p(p -3 - 10p) 5. (6a - 3b)(-2a) 3. m'(m + 2n - 6) 6. -3x(2x - 3)

A: We multiply each follow 2nd step.

Q: State by True/False : VXEZ, 3yEZ x² - y² =9 O True O False

A:

Q: #40 Find yll Hf 2x²+y²=4

A:

Q: xyz'w 9) Simplify

A: From the given problem:   Simplifyxyz2w-4x3y-1w7   So,   xyz2w-4x3y-1w7=xyz2w-4xx2y-1w7...(Taking x…

Q: Q9. (0,3) – 2i +1 = а. - 2i + 2 b. -2 – 2i с. (-1,1) d. (1,–1)

A: Substraction of two complex numbers

Q: ex: test Continuot for X-1 マメーザ 15 X 2 2.

A: Solution:- if LHL = RHL = f(x) then it is continuous

Q: Ex: Find gof, Fex) メ-15 2. gcx) = gox) x+2X

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.